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112032230002220 = 225111679787311569
BaseRepresentation
bin11001011110010010001001…
…010001011100111000101100
3112200200011202201211101102002
4121132102021101130320230
5104141014001340032340
61034134521305351432
732412030045520643
oct3136221121347054
9480604681741362
10112032230002220
1132773669186750
121069471b198578
134a68794c05258
141d9456308635a
15ce4336eb0715
hex65e48945ce2c

112032230002220 has 96 divisors (see below), whose sum is σ = 258219724331520. Its totient is φ = 40490779069440.

The previous prime is 112032230002219. The next prime is 112032230002229. The reversal of 112032230002220 is 22200032230211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112032230002192 and 112032230002201.

It is not an unprimeable number, because it can be changed into a prime (112032230002229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359418596 + ... + 359730164.

It is an arithmetic number, because the mean of its divisors is an integer number (2689788795120).

Almost surely, 2112032230002220 is an apocalyptic number.

112032230002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112032230002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129109862165760).

112032230002220 is an abundant number, since it is smaller than the sum of its proper divisors (146187494329300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112032230002220 is a wasteful number, since it uses less digits than its factorization.

112032230002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321543 (or 321541 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 112032230002220 its reverse (22200032230211), we get a palindrome (134232262232431).

The spelling of 112032230002220 in words is "one hundred twelve trillion, thirty-two billion, two hundred thirty million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 9787 18370 19574 36740 39148 48935 97870 107657 195740 215314 311569 430628 538285 623138 1076570 1246276 1557845 1634429 2153140 3115690 3268858 3427259 6231380 6537716 6854518 8172145 13709036 16344290 17136295 17978719 32688580 34272590 35957438 52032023 68545180 71914876 89893595 104064046 179787190 208128092 260160115 359574380 520320230 572352253 1040640460 1144704506 2289409012 2861761265 3049325803 5723522530 6098651606 11447045060 12197303212 15246629015 30493258030 33542583833 60986516060 67085167666 134170335332 167712919165 335425838330 509237409101 670851676660 1018474818202 2036949636404 2546187045505 5092374091010 5601611500111 10184748182020 11203223000222 22406446000444 28008057500555 56016115001110 112032230002220